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Another Elementary Proof of the Nullstellensatz.
- Source :
-
American Mathematical Monthly . Feb2006, Vol. 113 Issue 2, p169-171. 3p. - Publication Year :
- 2006
-
Abstract
- The article offers an alternative elementary proof to the one published by J. P. May in the paper "Munshi's proof of the Nullstellensatz," in which some of the algebraic technicalities are avoided. The alternative proof requires a simple version of the Noether normalization lemma. The proof needs the resultant of two polynomials but in such a simple manner that only one property of it is required. The analysis is confined to the weak form of Nullstellensatz because the strong form is easily derived from the weak form using the Rabinowitsch trick.
Details
- Language :
- English
- ISSN :
- 00029890
- Volume :
- 113
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- American Mathematical Monthly
- Publication Type :
- Academic Journal
- Accession number :
- 20096894
- Full Text :
- https://doi.org/10.2307/27641869